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olga2289 [7]
3 years ago
11

A rectangle has a height of b3 + b2 and a width of b2 + 76 + 4.

Mathematics
1 answer:
zaharov [31]3 years ago
3 0

Answer:

The area is:

{b}^{5}  + 8 {b}^{4}  + 11 {b}^{3} +  4 {b}^{2}

Step-by-step explanation:

To find the area of a rectangle, multiply the width by the height (I'll be using x for b, as it is easier when writing the equations):

a =  ({x}^{ 3}  +  {x}^{2} )( {x}^{2}  + 7x + 4) \\ a =  {x}^{5}  +  7{x}^{4}  + 4 {x}^{3}   \\ +  {x}^{4}   + 7 {x}^{3}  + 4 {x}^{2}  \\ a =  {x}^{5}  + 8 {x}^{4}  + 11 {x}^{3} +  4 {x}^{2}

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7 0
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5. If the tree's circumference is 141.3ft, what is its diameter?
BigorU [14]

Answer:

d ≈ 45 ft

General Formulas and Concepts:

<u>Symbols</u>

  • π (pi) ≈ 3.14

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Geometry</u>

  • Circumference of a Circle Formula: C = πd

Step-by-step explanation:

<u>Step 1: Define</u>

Circumference <em>C </em>= 141.3 ft

<u>Step 2: Solve for </u><em><u>d</u></em>

  1. Substitute in <em>C</em> [Circumference Formula]:                                                       141.3 ft = πd
  2. Substitute in π (approximation):                                                                      141.3 ft ≈ 3.14d
  3. [Division Property of Equality] Divide both sides by 3.14:                              45 ft ≈ d
  4. Rewrite:                                                                                                             d ≈ 45 ft
7 0
3 years ago
Read 2 more answers
Use the number line. Enter the integer value that point D represents.
GenaCL600 [577]

Given:

A number line from -10 to 10 with 20 tick marks.

Point D is 1 tick mark to the left of 5.

To find:

The integer value that represents point D.

Solution:

A number line from -10 to 10 with 20 tick marks. It means, each mark represents the integer values from -10 to 10.

We know that, as we move towards left on a number line the value decreases and as we move towards right the value increases.

Point D is 1 tick mark to the left of 5. It means, point D represents the integer value which is 1 less than 5.

5-1=4

Therefore, point D represents the integer 4.

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